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Finding the Third Proportional to 115,437 and 172,695

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Solution

The third proportional to 115,437 and 172,695 is: 258,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,437 : 172,695 = 172,695 : x
  2. Step 2: Convert to fraction form
    115,437/172,695 = 172,695/x
  3. Step 3: Cross multiply
    115,437x = 172,695 × 172,695
  4. Step 4: Simplify right side
    115,437x = 29,823,563,025
  5. Step 5: Solve for x
    x = 29,823,563,025/115,437
  6. Step 6: Final answer
    x = 258,353.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.